ISSN:
1573-2878
Keywords:
Proper efficient solutions
;
improper efficient solutions
;
constraint qualification
;
objective qualification
;
polar cone
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The properness of the efficient solution of the optimal problem with multicriteria has been independently defined by Kuhn and Tucker, Geoffrion, and Klinger. A theorem of Geoffrion describes the relation between Geoffrion's and Kuhn and Tucker's properness. In this paper, the dual part of the theorem is given, and some geometric approach is applied to derive the optimal conditions of proper efficient solutions and improper efficient solutions.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00934082
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